Department of Mathematics
Diggle's test for complete spatial randomness of a given point pattern uses the discrepancy between the estimated and the theoretical form of a summary function as the test statistic. One commonly used discrepancy measure is the supremum of the pointwise differences over a suitably chosen range; the upper bound of the range is an arbitrary but sometimes crucial parameter. This paper shows that when we use Ripley's K -function as the summary function, it is possible to avoid using an arbitrary upper bound by using adapted distance dependent intensity estimators.
Complete spatial randomness, Edge-correction, Intensity estimator, K -function, Spatial point pattern
Source Publication Title
Journal of Statistical Computation and Simulation
Taylor & Francis
This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Statistical Computation and Simulation in July 2006, available online: http://dx.doi.org/10.1080/00949650412331321043.
This research was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKBU2048/02P) and an FRG grant of the Hong Kong Baptist University.
Link to Publisher's Edition
Ho, L. P., and S. N. Chiu. "Testing the complete spatial randomness by Diggle's test without an arbitrary upper limit." Journal of Statistical Computation and Simulation 7.76 (2006): 585-591.